Problema Solution

Trisha has a 28.5 inch piece of wire to make a necklace and bracelet. She has to cut the wire so that the piece for the necklace will be twice as ong as the piece for the bracelet find the length for each piece.

Answer provided by our tutors

let


n = the length of the wire needed for the necklace


b = the length of the wire needed for the bracelet


She has to cut the wire so that the piece for the necklace will be twice as long as the piece for the bracelet find the length for each piece:


n = 2b


Trisha has a 28.5 inch piece of wire to make a necklace and bracelet:


n + b = 28.5


by solving the system of equations:


n = 2b


n + b = 28.5


we find:


n = 19 in


b = 9.5 in


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the necklace is 19 inches long while the bracelet is 9.5 inches long.